In the paper we are concerned with double S-breaking cubic turning points of two-parameter nonlinear problems in the presence of Z(2)-symmetry. Three extended systems are proposed to determine double S-breaking cubic ...In the paper we are concerned with double S-breaking cubic turning points of two-parameter nonlinear problems in the presence of Z(2)-symmetry. Three extended systems are proposed to determine double S-breaking cubic turning points. We show that there exist two kinds of singular point path passing through double S-breaking cubic turning point, One is the simple quadratic turning point path, the other is the pitchfork bifurcation point path.展开更多
文摘In the paper we are concerned with double S-breaking cubic turning points of two-parameter nonlinear problems in the presence of Z(2)-symmetry. Three extended systems are proposed to determine double S-breaking cubic turning points. We show that there exist two kinds of singular point path passing through double S-breaking cubic turning point, One is the simple quadratic turning point path, the other is the pitchfork bifurcation point path.
